Greatest Common Factor of 577/463, 537/784, 591/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 577/463, 537/784, 591/140

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 577/463,537/784,591/140

Given fractions are 577/463,537/784,591/140

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 577,537,591

Greatest Common Factor of Numerators i.e. GCF of 577,537,591 is 1 .

LCM of Denominators means LCM of 463,784,140 as per the given fractions.

LCM of 463,784,140 is 1814960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 577,537,591

GCF of Fractions 577/463,537/784,591/140 is 1/1814960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 577,537,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,537,591 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 577,537,591 . The biggest common factor number is the GCF number.
So the greatest common factor 577,537,591 is 1.


Lets's calculate LCM of 463,784,140

2 463, 784, 140
2 463, 392, 70
7 463, 196, 35
463, 28, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 463 x 28 x 5 = 1814960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1814960

Therefore, the GCF of Fractions 577/463,537/784,591/140 is 1/1814960

Least Common Multiple of 463,784,140 with GCF Formula

Least Common Multiple of 463,784,140 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 463,784,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,784,140) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(463,784,140) x common factors =1 x 28 = 28

LCM(463,784,140) = ( 463 × 784 × 140 ) / 28

LCM(463,784,140) = 50818880 / 28

LCM(463,784,140) = 1814960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 577/463, 537/784, 591/140

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 577/463, 537/784, 591/140?

Answer: GCF of Numerators as per given numbers 577/463, 537/784, 591/140 is

GCF of Numerators i.e. for 577,537,591 is 1

LCM of denominators i.e. for 463,784,140 is 1814960.

Thus, GCF of Fractions is 1/1814960.Finally, GCF of Fractions for 577/463, 537/784, 591/140 is 1/1814960.